摘要
本文在有限体积离散和ＬＵ分解的基础上，构造出一个新的隐式迎风型杂交格式，并用于求解定常流动的稳态解。该格式对Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程无粘部分的数值通量采用Ｙｅｅ的三阶精度ＭＵＳＣＬ型ＴＶＤ格式，其粘性部分的导数用四阶紧致差分；离散后方程的隐式部分仍保持了ＬＵ快速求解的特征；该算法在时间上具有二阶精度。六个典型的内流算例表明：该格式计算稳定、捕捉激波分辨率高，能较好地模拟激波与边界层的干涉及激波反射等一些复杂的流动现象，与实验比较令人满意。
An efficient TVD finite volume hybrid algorithm for Navier-Stokes equations in conservation form is presented. The spatial discretization of the convective terms is based on Yee' s third order MU-SCL type TVD scheme. The spatial discretization of the viscous terms is based on fourth order accuracy compact scheme. The flow field for per time step is analyzed by Jameson & Turkel's LU decompositions.Such treatment can guarantee high resolution of captured shock waves and high order accuracy of numerical simulation. It has second order accuracy in time. The algorithm is used to compute the shock reflection problems and transonic cascade flows and the computed results are in good agree-ment with available experimental data.Six illustrative examples indicate that the algorithm is quite robust and can generate good shock-capturing properties.The algorithm can correctly simulate multiscalar physical problems and its convergence rate is much higher and the proposed algorithm is very efficient.
出处
《空气动力学学报》
CSCD
北大核心
1995年第4期365-373,共9页
Acta Aerodynamica Sinica
基金
国家自然科学基金
关键词
高精度
高分辨率
粘性内流
计算空气动力学
high order accurate scheme,high resolution scheme,vis-cous internal flows.
